Taylor coefficients of mock-Jacobi forms and moments of partition statistics
From MaRDI portal
Publication:2927883
DOI10.1017/S0305004114000292zbMath1311.11039OpenAlexW2320226519MaRDI QIDQ2927883
Robert C. Rhoades, Kathrin Bringmann, Karl Mahlburg
Publication date: 4 November 2014
Published in: Mathematical Proceedings of the Cambridge Philosophical Society (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1017/s0305004114000292
Related Items (21)
\({\mathrm {H}}\)-harmonic Maaß-Jacobi forms of degree 1 ⋮ The number of parts in certain residue classes of integer partitions ⋮ The first positive rank and crank moments for overpartitions ⋮ Higher order smallest parts functions and rank-Crank moment inequalities from Bailey pairs ⋮ Integer partitions, probabilities and quantum modular forms ⋮ Inequalities between first moments of \(M_2\)-rank and crank for overpartitions ⋮ On the number of parts of integer partitions lying in given residue classes ⋮ On the distribution of the \textsf{spt}-crank ⋮ Asymptotic formulas for spt-crank of partitions ⋮ Taylor coefficients of false Jacobi forms and ranks of unimodal sequences ⋮ Taylor expansions of Jacobi forms and linear relations among theta series ⋮ Inequalities for ranks of partitions and the first moment of ranks and cranks of partitions ⋮ The asymptotic distribution of the rank for unimodal sequences ⋮ Asymptotic inequalities for positive crank and rank moments ⋮ Asymptotic formulas related to the \(M_2\)-rank of partitions without repeated odd parts ⋮ Families of quasimodular forms and Jacobi forms: The crank statistic for partitions ⋮ Perspectives on mock modular forms ⋮ On the non-negativity of the spt-crank for partitions without repeated odd parts ⋮ Asymptotics of crank generating functions and Ramanujan congruences ⋮ On Dyson’s crank distribution conjecture and its generalizations ⋮ Asymptotic formulae for partition ranks
Cites Work
- Unnamed Item
- Higher order spt-functions
- On the explicit construction of higher deformations of partition statistics
- Partitions, Durfee symbols, and the Atkin-Garvan moments of ranks
- Dyson's ranks and Maass forms
- Relations between the ranks and cranks of partitions
- On two geometric theta lifts
- Mappings and symmetries of partitions
- Zagier-type dualities and lifting maps for harmonic Maass-Jacobi forms
- Rank-crank type PDE's and non-holomorphic Jacobi forms
- On modular forms of half integral weight
- Asymptotic formulas for coefficients of Kac–Wakimoto Characters
- Rank-Crank type PDE's for higher level Appell functions
- CONGRUENCES FOR ANDREWS' SMALLEST PARTS PARTITION FUNCTION AND NEW CONGRUENCES FOR DYSON'S RANK
- Dyson’s crank of a partition
- On the asymptotic behavior of Kac-Wakimoto characters
- Asymptotics for rank and crank moments
- Inequalities between ranks and cranks
- Partition congruences and the Andrews-Garvan-Dyson crank
- Some Properties of Partitions
This page was built for publication: Taylor coefficients of mock-Jacobi forms and moments of partition statistics
